7977460608 has 384 divisors, whose sum is σ = 26015589600. Its totient is φ = 2418647040.

The previous prime is 7977460583. The next prime is 7977460633. The reversal of 7977460608 is 8060647797.

It is an interprime number because it is at equal distance from previous prime (7977460583) and next prime (7977460633).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44074278 + ... + 44074458.

Almost surely, 2^7977460608 is an apocalyptic number.

7977460608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7977460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007794800).

7977460608 is an abundant number, since it is smaller than the sum of its proper divisors (18038128992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7977460608 is a wasteful number, since it uses less digits than its factorization.

7977460608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 7977460608 is about 89316.6311948676. The cubic root of 7977460608 is about 1998.1199505942.

The spelling of 7977460608 in words is "seven billion, nine hundred seventy-seven million, four hundred sixty thousand, six hundred eight".